3447428249760 has 288 divisors, whose sum is σ = 12258976254336. Its totient is φ = 813152102400.

The previous prime is 3447428249719. The next prime is 3447428249761. The reversal of 3447428249760 is 679428247443.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 3447428249694 and 3447428249703.

It is not an unprimeable number, because it can be changed into a prime (3447428249761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1346845 + ... + 2951075.

It is an arithmetic number, because the mean of its divisors is an integer number (42565889772).

Almost surely, 2^{3447428249760} is an apocalyptic number.

3447428249760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3447428249760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6129488127168).

3447428249760 is an abundant number, since it is smaller than the sum of its proper divisors (8811548004576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3447428249760 is a wasteful number, since it uses less digits than its factorization.

3447428249760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604308 (or 1604289 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 60.

The spelling of 3447428249760 in words is "three trillion, four hundred forty-seven billion, four hundred twenty-eight million, two hundred forty-nine thousand, seven hundred sixty".